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AP ratios on AD champions

Why is it that there are many abilities, on obvious AD champions, that are raised by AP? Like Rengar having a roar that increases in dmg with AP.... who's going to build AP just to get damage on that on that one spell? Or AP on Mundo's aoe. AP on Shyvanas fireball. AP on Lee Sin's shield. Trundle's ult. Twitch's nuke. etc etc.

I understand to an extent, that it's about being able to vary champion builds, but why would you give Lee Sin an AP ratio shield when Riven gets an AD one? Why does that make sense???

Funny you should mention AP Rengar. Surprisingly AP Rengar is actually viable according to some forum-goers. It's a 1.0 ratio that is aoe, heals you, and can be spammed twice in a row assuming you have max ferocity.

Basically it means they are stronger with blue pot, Baron, and WOTA, so that's nothing to sneeze at. Also: AP Rengar is a thing. In the early stages many champs could be built both AD or AP, like Yi, Sion, and Tristana. Now the designs seem to be all-or-nothing.

I like Tris AP just for the hilarity of the minion nuke thing. 1 w and you get a triple kill when you were sure to die. Epic.

The champions are set up like that so you can build them with ap and ad items. Just buying straight ad or ap isn't always the best way to go. Yorick can benefit from ap and ad but a lot of people play him just ad. This works great but a little ap can change a team fight. Riot wants summoners to be able to customize their favorite champions to meet their game play style. I play malzahar ad/ap because it's better for me. AD early game for voidlings and ap later for taking out tanky champs. This almost doesn't make sense because he has only ap abilities. It works though.